Retention of visuo-proprioceptive recalibration in estimating hand position

The brain estimates hand position using visual and proprioceptive cues, which are combined to give an integrated multisensory estimate. Spatial mismatches between cues elicit recalibration, a compensatory process where each unimodal estimate is shifted closer to the other. It is unclear how well visuo-proprioceptive recalibration is retained after mismatch exposure. Here we asked whether direct vision and/or active movement of the hand can undo visuo-proprioceptive recalibration, and whether recalibration is still evident 24 h later. 75 participants performed two blocks of visual, proprioceptive, and combination trials, with no feedback or direct vision of the hand. In Block 1, a 70 mm visuo-proprioceptive mismatch was gradually imposed, and recalibration assessed. Block 2 tested retention. Between blocks, Groups 1–4 rested or made active movements with their directly visible or unseen hand for several minutes. Group 5 had a 24-h gap between blocks. All five groups recalibrated both vision and proprioception in Block 1, and Groups 1–4 retained most of this recalibration in Block 2. Interestingly, Group 5 showed an offline increase in proprioceptive recalibration, but retained little visual recalibration. Our results suggested that visuo-proprioceptive recalibration is robustly retained in the short-term. In the longer term, contextual factors may affect retention.

Using our hands in daily life requires the brain to interpret available sensory signals about the position of the hand. These signals include vision, from the image of the hand on the retina, and proprioception (position sense) from sensors in the muscles of the upper limb. When different sensory cues are interpreted as arising from the same source-the hand, in this case-the brain is thought to weight and combine them to form an integrated estimate of hand position 1,2 . Estimates of hand position are used to plan appropriate motor commands [3][4][5] .
Visual and proprioceptive signals about hand position are not necessarily congruent 6 , meaning that felt and seen hand position might not be the same. These mismatches vary across individuals but remain stable over time 7 . However, perturbations in the environment can cause additional in congruencies; for example, the visual estimate of the hand is shifted when the hand is immersed in a sink full of water, which refracts light. The brain compensates for such mismatches by visuo-proprioceptive recalibration, shifting the unimodal position estimates closer together to reduce the conflict 1,[8][9][10] .
A visuo-proprioceptive mismatch also occurs during visuomotor adaptation, a process thought to involve trial-by-trial updating of the reach motor command in response to systematically perturbed visual feedback 3,[11][12][13][14] . For example, cursor rotation paradigms have a visual cursor, representing the reaching hand's position, rotated with respect to the actual hand's movement path. This causes errors in reaching the target, which are gradually reduced as visuomotor adaptation proceeds. Proprioceptive recalibration has also been reported, with proprioceptive estimates shifting toward the rotated visual feedback 13,15,16 . Proprioceptive recalibration occurs in a variety of motor adaptation contexts, including abrupt or gradual visuomotor distortions and active or passive displacement of the hand 13,14 . Proprioceptive recalibration and visuomotor adaptation may occur in parallel but independent of each other 17 , although Tsay et al. 18 suggest proprioceptive recalibration may in part drive visuomotor adaptation. Cressman and Henriques 16 found proprioceptive recalibration in response to a cursor rotation even in the absence of motor adaptation training trials. This study demonstrated that the cross-sensory error signal was sufficient to drive proprioceptive recalibration 16 . However, in the context of visuomotor adaptation, proprioceptive recalibration may be a response to sensory prediction errors in proprioception, in addition to the visuo-proprioceptive conflict 19 .
Recalibration task setup and targets. Participants were seated in front of a 2D virtual reality apparatus that consisted of a two-sided touchscreen (PQLabs), mirror, and rear projection screen, all positioned in the horizontal plane. Participants viewed the task display in the mirror, making it appear that the images were in the plane of the touchscreen (Fig. 1A). They used their right index finger ("indicator finger") to indicate the perceived position of three kinds of targets: visual (V), proprioceptive (P), and visual-proprioceptive (VP), corresponding to the sensory information available for each target (Fig. 1B). The V target was a 1 cm white square projected on the display whereas the P target was the left index fingertip ("target finger"), placed on one of two tactile markers on the bottom touchscreen. The start position for the indicator finger was jittered among a grouping of 5 different positions, while the target finger was positioned on one of two tactile markers, arranged in a 4 × 4 cm grouping centered at body midline. The tactile marker positions did not change throughout the experiment within or between participants. VP trials included both the V target and the P target. Participants were explicitly told that on VP trials, the components would be in the same location, i.e., the white square would appear directly over their target finger. For V trials, participants were instructed to keep their target hand on their lap. The left hand was always under the touchscreen and the right indicator hand was always above. The participants did not have any direct vision of their arms or hands through the mirror, and a black disposable bib was used to obscure subjects' view of their upper arms.
Single trial procedure. Each trial began with the appearance of a yellow start box in one of five possible positions. The start and target positions were randomized so that the subjects could not memorize a movement direction or extent. The participants had to place their indicator finger inside the start box on the upper touchscreen for the trial to begin. Visual feedback of the indicator finger near the start box (blue circle, 8 mm) was provided to help participants achieve the starting position, after which it disappeared. Participants were instructed on how to position their target hand and to keep their eyes on a red fixation cross, which appeared at random coordinates within 10 cm of the target. Finally, subjects heard a "go" signal, instructing them to begin the trial. The participants were asked to indicate the position of the target with as much accuracy as possible at their own pace (no speed restrictions). They were instructed to lift their indicator finger off the glass and place it down at the perceived location of the target and not to drag it on the touchscreen. When satisfied with their indicator finger's position, subjects were asked to hold their position for 2 s for the system to register their touch. A camera-click sound indicated trial completion. No performance feedback was provided; thus, participants had no way of knowing how accurately they were indicating target positions.
Session design. There were 5 groups in total. Each group performed 2 blocks of trials, after a short training sequence. Block 1 was used to create a visuo-proprioceptive mismatch in target finger perception and measure participants' recalibration of vision and proprioception in response. Block 2 was used to test the retention of visual and proprioceptive recalibration when the visuo-proprioceptive mismatch was no longer explicitly presented (Fig. 1C). Block 1 (84 trials) consisted of 21 V trials, 21 P trials and 42 VP trials, presented in the repeating order VP-V-VP-P. A 70 mm misalignment was gradually imposed in Block 1 between the visual and proprioceptive components of target position. This was done by shifting the V component away from the P component of VP targets, 1.67 mm at a time, in the forward direction (i.e., positive y direction), such that by the end of Block  www.nature.com/scientificreports/ V component was 70 mm further away from the subject than the P component (Fig. 1B). On V target trials, the V target was projected with the same forward offset as the most recent VP trial. After Block 1, Groups 1-4 had a 5-min intervention period before beginning Block 2 (Fig. 1C). The intervention consisted of either one minute of active movement of the target (left) hand or rest, with or without direct visual feedback of the target hand. Group 1 was the active-vision (AV) group, Group 2 was rest-vision (RV), Group 3 was active-no vision (ANV), Group 4 was rest-no vision (RNV). During the intervention, direct visual feedback was achieved by removing the foam board that was otherwise positioned under the mirror, which was half-silvered. A lamp beneath the mirror made the hands and lap clearly visible to the subject when this foam board was removed. The active groups performed a circle-tracing task for one minute, using their target finger to trace around a circular plastic plate which was placed at the same position as the tactile markers on the bottom touchscreen. Rest groups kept their hands on their laps for the entire 5-min period with or without vision, and active groups did so for the 4 min they were not circle-tracing. A metronome was used to pace the circle tracing task in the active groups. The subjects had to complete one circle with every tone per second for a minute. To make it uniform across subjects, the rest groups also heard the metronome for the first 60 s. Group 5 (24 h) participants left the lab at the end of Block 1 and returned the following day to complete Block 2. Group 1-4 participants began Block 2 immediately following the 5-min intervention period.
Block 2 (42 trials) consisted of 21 V and 21 P trials presented in alternating order, with no VP trials. In Block 2, the V target remained where it was at the end of Block 1 (70 mm forward from the P target) and was used to determine the retention of visual recalibration from Block 1. The P trials were used to determine the retention of proprioceptive recalibration from Block 1. After Block 2, participants were asked whether they had perceived The 2D virtual reality apparatus setup. The task was viewed on the middle layer (the mirror), reflected from the projection screen above, making it appear that the display was in the plane of the bottom layer (touchscreen). (B) There were three target types. The bimodal VP target consisted of the target fingertip positioned beneath the touchscreen with a white box projected at the same location initially (top row), but gradually shifted forward (bottom row). The P target was the target finger with no white box, and the V target was the white box alone. The VP target was used to create the misalignment, while the unimodal targets were used to assess recalibration and retention. No direct vision of either hand was possible, and no performance feedback or knowledge of results was given. (C) Task design. (i) Block 1 consisted of V, P, and VP targets presented in rotating order, with a 70 mm mismatch gradually imposed in the sagittal plane (y-dimension). Blue and red lines represent estimates of the unimodal V and P targets, respectively. Colored arrows represent recalibration from early trials to late trials (grey regions). (ii) Intervention determined by random group assignment. The first four interventions consisted of a 5-min gap between blocks; the fifth group left the lab and returned the next day for Block 2. Open eye icon: direct vision of target hand by removing mirror backing temporarily. Closed eye icon: no removal of mirror backing, no direct vision of hands. Finger on circle icon: target finger traced a circular track on the touchscreen in time with a metronome. Flat hand icon: target hand rested on the lap. (iii) Block 2 was used to assess retention of recalibration and consisted of V and P targets only. Three potential retention outcomes are illustrated schematically. www.nature.com/scientificreports/ the white box to be offset from their target finger at any point. If they said yes, they were asked to report the direction of perceived offset and to estimate the spatial magnitude. 20 subjects in total reported perceiving some amount of forward offset: 2, 5, 6, 2 and 5 respectively in groups 1-5.
Data processing. We analyzed data consisting of indicator finger endpoints on V and P targets early and late in Block 1 and early in Block 2. We averaged the first or last 4 trials in the block for this purpose, to be consistent with our previous use of the recalibration paradigm [27][28][29] . Because the visuo-proprioceptive mismatch occurred only in the sagittal plane (y-dimension), our analyses considered only this dimension of the indicator finger endpoints. Individual data were processed and analyzed using MATLAB version 2019b (MathWorks). Statistical analyses were performed with SPSS version 28.
Recalibration. Proprioceptive recalibration ( P rc ) was calculated by finding the difference between the means of the last four ( P β ) and first four ( P α ) P trial endpoints in Block 1 (Fig. 1Ci): Visual recalibration ( V rc ) was calculated as the difference between the means of the last four ( V β ) and first four ( V α ) V trial endpoints in Block 1 (Fig. 1Ci), subtracted from 70 to account for the change in V target position between these timepoints.
Retention. Raw proprioceptive retention ( P ret ) was calculated as the difference between the mean of the first four P trial endpoints in Block 2 ( P ϕ ) and the mean of the first four P trial endpoints of Block 1 ( P α ) ( Fig. 1Ci and iii): Raw visual retention ( V ret ) was calculated as the difference between the mean of the first four V trial endpoints of Block 2 ( V ϕ ) and the mean of the first four V trial endpoints in Block 1 ( V α ) ( Fig. 1Ci and iii), subtracted from 70 to account for the change in V target position between these time points.
Percentage difference in retention. For descriptive purposes, we also computed the difference between recalibration and raw retention for each unimodal target ( P dif , V dif ): This value reflects how much retention was evident in Block 2, given how much recalibration occurred in Block 1. In other words, one participant might recalibrate proprioception 20 mm and show retention of 10 mm, meaning he "forgot" half of his recalibration, while another person might recalibrate proprioception only 10 mm but show 10 mm of retention, meaning he retained all of his recalibration. These two individuals would have equal raw retention, but the retention difference of the first person would be − 50% (forgot half) versus 0% for the second person (forgot nothing).

Statistical analysis.
To determine the effect of group intervention on recalibration and retention of recalibration, we performed a mixed model ANOVA with task stage (recalibration, raw retention) as the withinsubjects factor, and group (AV, RV, ANV, RNV, 24 h) as the between-subjects factor for each of vision, proprioception, and total (sum of visual and proprioceptive values). Bayesian test for equivalence was performed to test similarity between groups in Block 1. Shapiro-Wilk's tests revealed that the group data were normally distributed. Effect sizes were computed using partial eta squared, η p 2 values. Post-hoc tests with Bonferroni adjustments were performed on significant interactions. Significance was considered at an alpha level of 0.05. To further examine the effect of intervention on retention, we performed a one-sample t test on each group's raw retention against a test value of 0. Effect sizes were computed using Cohen's d. We excluded one subject each from group 3 and 4 due to technical issues with the touchscreen during the data collection.

Sample size selection.
Prior to the present study, no data was available on retention with the present recalibration paradigm. We therefore based the sample size on studies investigating retention of proprioceptive recalibration in motor adaptation paradigms. These generally ranged from 9 to 18 subjects per group 3,14,16,30 . We estimated that 15 subjects per group would be an adequate sample, given that the goals of the study were www.nature.com/scientificreports/ fairly exploratory. We expected that if any retention were evident, follow-up studies would likely be necessary to understand the details.

Results
Various patterns of responses were observed among the participants. Generally, during Block 1, participants recalibrated both vision and proprioception to some degree. We found no significant difference in the recalibration magnitudes between groups in Block 1; Bayes factor (BF) was ~ 0.3 for both modalities, giving us moderate to mild evidence that recalibration was similar across groups in Block 1 31 . All three potential retention outcomes (Fig. 1Ciii) were observed across participants. For example, the AV participant depicted in Fig. 2A recalibrated vision 43.7 mm and proprioception 29.0 mm. Early Block 2 shows similar V target undershoot but reduced P target overshoot than at the end of Block 1, suggesting this participant had full retention in vision but some forgetting in proprioception. The 24 h participant depicted in Fig. 2B recalibrated vision 42.9 mm and proprioception 10.8 mm. Early Block 2 shows very little V target undershoot compared to the end of Block 1, suggesting substantial forgetting in this modality. We found that all five groups retained their recalibration, but the amount of retention varied among groups and modality (Fig. 3). Retention appears close to full (Fig. 1Ciii, left) for the AV, RV, ANV, and RNV groups ( Fig. 3A-D). However, the 24 h group shows low retention (i.e., substantial forgetting) for vision, but offline gains for proprioception (Fig. 3E).
Visual recalibration and retention. At a descriptive level, the AV, RV, and RNV "forgot" some of the visual change they underwent during recalibration ( V dif = − 21%, − 19%, and − 26%, respectively; Fig. 3A, B, D). The ANV group had a small offline gain in visual recalibration ( V dif = 5%; Fig. 3C), while the 24H group forgot nearly all of their visual recalibration ( V dif = − 92%; Fig. 3E). The statistical analysis for vision (mixedmodel ANOVA; task stage x group) showed a significant group x task stage interaction (F 4,68 = 7.4, p < 0.001, η p 2 = 0.304), suggesting that groups performed the task stages differently. There was also a main effect of task stage (F 1,68 = 24.8, p < 0.001, η p 2 = 0.267) meaning that across groups, visual retention differed from visual recalibration. There was no main effect of group (F 4,68 = 1.57, p = 0.19, η p 2 = 0.084). Post-hoc tests were conducted to determine how recalibration and retention of recalibration differed between and within the groups. This revealed that differences among the groups for visual recalibration (� V rc ) were not significant (p > 0.5), inconsistent with group differences in visual recalibration in Block 1 (Fig. 3). There were no significant group differences in raw retention of visual recalibration ( V ret ), except between the RV group ( V ret = 36.5 mm) and the 24H group ( V ret = 3.2 mm).
This between-group difference of 33.3 mm was statistically significant (p = 0.014), meaning that the 24H group showed significantly less visual retention than the RV group (Fig. 4A). We also compared recalibration to raw retention within groups. These parameters were significantly different only for the 24H group (p < 0.001), meaning that the magnitude of retention ( V ret = 3.2 mm) was significantly less than the amount recalibrated ( V rc = 38.3 mm) (Fig. 4A), consistent with low retention (Fig. 1Ciii).
We also compared raw proprioceptive retention (� P ret ) to zero in each group to ascertain whether there was any evidence that proprioceptive estimates at the beginning of Block 2 (after intervention) were different from the beginning of Block 1 (baseline). Results suggest P ret differed significantly from zero for the AV group (t 14 = 7.26, p < 0.001, d = 1.88), the RNV group (t 13 = 3.10, p = 0.008, d = 0.83), and the 24H group (t 14 = 5.91, p < 0.001, d = 1.53). However, we did not find evidence of significant proprioceptive retention in the ANV group (t 13  Total recalibration and retention. At the group level, percent changes from total recalibration (visual plus proprioceptive) to total retention (visual plus proprioceptive), were negative, consistent with forgetting www.nature.com/scientificreports/ (Fig. 3). The AV group forgot the least (− 4%, Fig. 3A) and the 24H group forgot the most (− 46%, Fig. 3E). Statistical analysis suggests that these differences among groups are not significant. For total recalibration, there was no task stage x group interaction (F 4,68 = 2.20, p = 0.078, η p 2 = 0.12), suggesting that the groups did not perform differently across stages when visual and proprioceptive compensation is summed. Our results showed a significant main effect of task stage (F 1,68 = 17.32, p < 0.001, η p 2 = 0.203), meaning that within groups, total recalibration (48.9 mm) significantly differed from total retention (39.4 mm) (p < 0.001) (Fig. 4C). There was no main effect of group (F 4,68 = 1.26, p = 0.30, η p 2 = 0.07). One-sample t-tests indicated that the total retention was significantly Proprioception. There was a significant group x task stage interaction. Recalibration and Retention occurred similarly across groups. Within groups there was a significant difference in the recalibration and retention block for Active/No Vision and 24H group. (C) Total. There was no significant interaction between the group and task stage. *p < 0.05 for group x task stage ANOVA effects. www.nature.com/scientificreports/ different from zero for all the groups (p < 0.001), which is consistent with significant retention occurring in all groups, when both visual and proprioceptive retention are considered.

Discussion
Here we investigated the retention of visual and proprioceptive recalibration in response to a 70 mm mismatch. Motor adaptation studies have suggested that even after the altered visual feedback is removed, reaching errors persist, indicating retention of the adapted motor command 22,[32][33][34] . Similarly, studies have shown that proprioceptive recalibration that occurs during motor adaptation can be retained 3,4,35 . Our results suggest that visuoproprioceptive recalibration is also robustly retained even after participants are given a veridical view of their actual hand and allowed to actively move the seen hand. However, the 24H group retained very little visual recalibration by the following day, while showing evidence of offline gains in proprioceptive recalibration. This indicates that retention of visuo-proprioceptive recalibration is relatively robust in the short term, but other factors like context dependence might come into play over the longer term.
Visual and proprioceptive recalibrations were retained to different extents. When the sum of visual and proprioceptive recalibration and retention were considered (total recalibration and retention), we found no evidence of between-group differences. All five groups showed evidence of retention. However, retention of visual recalibration and retention of proprioceptive recalibration showed distinct patterns across the groups. In all five groups, participants began to undershoot the visual targets during Block 1, suggesting they came to feel that the visual target was closer than where it was displayed (visual recalibration). The four groups with 5-min intervention periods all showed evidence of retention at the beginning of Block 2, meaning that they continued undershooting the visual targets. However, the 24H group showed no evidence of visual retention, meaning they "forgot" the visual recalibration that occurred during Block 1. The 24H group had much more opportunity to view their hand veridically and to use it to interact with the environment, either of which could have resulted in the forgetting we observed in the visual modality. This could involve retrograde interference of the type found in motor studies when there are competing motor memories 36 . This is outside the scope of the present study, but future work could test whether visuo-proprioceptive memories behave similarly. It is somewhat surprising that there was no evidence of visual forgetting in the AV or RV groups, which received direct vision of their target hand. Because participants in those groups could see their actual hand (without the 70 mm visuo-proprioceptive mismatch), we expected some undoing of the visual recalibration that occurred in Block 1. Perhaps direct vision of the hand fails to undo recalibration if the hand is simply at rest, as there is nothing to require or encourage participants to use the available visual information. However, even active movement with the visible hand (AV group), where subjects presumably used their view of the hand to help guide their circle tracing, was insufficient to undo visual recalibration. One possibility is that recalibration affected a body representation that functions separately from the body representation used to control active movement. Paillard 37 refers to these representations as the body image and the body schema, respectively, based on observations in neuropsychological patients. The operation of such representations in healthy individuals is not well understood 38 , but may be a worthwhile avenue for future studies. Another possibility for the high visual retention is that recalibration was stimulus specific. In other words, participants could have adjusted the mapping between the specific visual stimulus, the white square in this case, and their proprioception, such that direct vision of their real hand was too dissimilar to the white square to impact retention. To resolve this question, a future experiment could replace direct vision of the hand with a white square that veridically matches the position and movements of the unseen hand.
As with visual recalibration, in all five groups, participants began to overshoot proprioceptive targets during Block 1, suggesting they came to feel their target finger was further away than it actually was (proprioceptive recalibration). The ANV group appeared to "forget" some of their proprioceptive recalibration by Block 2, but we did not see evidence of such forgetting in the other 5-min intervention groups. It is particularly surprising that proprioceptive recalibration was not attenuated in the AV group. This could suggest that veridical vision of a moving hand somehow kept proprioception biased-the opposite of our intuition that seeing and moving one's hand around the workspace should be the best way to recover veridical perception.
One possible explanation for this counter-intuitive result could be that a modality must be weighted heavily in order to undo its recalibration. Multisensory perception involves weighting and combining the individual sensory modalities 1,39 . Weighting is not constant but is affected by relative variance in the sensory signals 1,39,40 , spatial parameters 41 , and even the computation being performed 42,43 . The ANV group could not see their hand but had to trace the circular track relying only on their proprioception. Thus, their highly weighted proprioception was "exposed" to correction from pre-existing body representations or heightened spindle activation during the intervention. The AV group, in contrast, could see their whole hand and forearm while they traced circles. The literature suggests vision should be very highly weighted in this circumstance, relative to proprioception 44 . Thus, the lower-weighted proprioception was "hidden" from exposure to correction. This interpretation is speculative, but it does yield hypotheses that could be tested in the future. For example, it is unknown whether visuoproprioceptive weighting and retention of recalibration are related; we can experimentally assess weighting when visual, proprioceptive, and combined trials are present 9,45 , but here we did not include combined trials in Block 2. Future studies could also experimentally manipulate visuo-proprioceptive weighting during the intervention period and assess whether retention of the more-heavily-weighted modality is attenuated.
Interestingly, the 24H group was overshooting proprioceptive targets to an even greater extent when they returned for Block  www.nature.com/scientificreports/ recalibration at Block 2 could be related to the reduction in visual recalibration at Block 2 for the 24H group. Another possibility is that the 24H group was influenced by contextual factors. Torres-Oviedo and Bastian 46 showed that when learning was encoded on a treadmill (device-induced learning) with contextual information that was specific to the treadmill environment, it led to retention of context specific learning on the same apparatus (treadmill) but not in a different context (overground walking) when the errors were large. In other words, proprioceptive recalibration in our study could be tied to the context of the 2D virtual reality apparatus, while visual recalibration might not be. The 24H group differed from the other groups in important ways. Not only did more time pass before retention was tested, but participants in the 24H group also presumably spent a large portion of that time making various hand movements in various sensory contexts. Studies have shown that when visual information is available about hand position, it is frequently associated with higher spatial accuracy and relied on more heavily than proprioceptive estimates 47 . Since the 24H group participants could view their hand for a longer period and perform different activities in various workspaces, often with full view of their hand and in brightly lit conditions, they presumably spent much of that time relying heavily on their visual estimates before coming back to perform Block 2 of the task. Thus, we might conclude that not only is substantial time with direct vision of the hand required to undo recalibration, but also a modality must be relied upon (weighted heavily) to undo recalibration.
Comparing retention of visuo-proprioceptive recalibration with retention of motor adaptation. The present study is the first, to our knowledge, to examine retention of visuo-proprioceptive recalibration that occurs purely in response to a visuo-proprioceptive mismatch. Proprioceptive recalibration can also be a response to sensory prediction errors, which occur in visuomotor adaptation paradigms 19 . Visuomotor adaptation is a form of motor learning in which movements are gradually adapted to compensate for a systematic perturbation, such as a visual cursor being rotated relative to actual hand movements 13,22 . The retention of both visuomotor adaptation and of proprioceptive recalibration in this paradigm have been investigated. While such studies do not generally consider visual recalibration, proprioceptive estimates have been observed to recalibrate concurrently with adaptation of the movements. Proprioceptive recalibration occurs with a different time course and smaller magnitude than motor adaptation 14,30 . Previous studies have reported that there are some partially shared mechanisms between motor adaptation and proprioceptive recalibration 48 . In the motor process the mechanism involves updating the forward model which uses the motor commands and the current state of body to predict the outcome of movement. It involves the sensory mechanism also as there is a mismatch between the proprioceptive limb estimates and the visual feedback cursor representing limb position 19,49 . Unlike motor learning, where learning with one effector transfers to an untrained effector 50,51 , proprioceptive changes have not been observed to transfer between hands in previous studies 52 . However, proprioceptive recalibration can generalize quite broadly in comparison to motor adaptation 53 .
Previous studies have shown that when visual feedback is removed during movement or awareness of perturbations are made more explicit 54 , the proprioceptive recalibration that accompanies visuomotor adaptation is still observed 19 . In our study, even though we purely had visuo-proprioceptive recalibration and no motor learning component, we still found that the proprioceptive and visual recalibration both were robust to task manipulations such as active movement or the veridical vision of the hand which might have led to greater awareness of the mismatch between the proprioceptive and visual estimates, similar to proprioceptive recalibration in adaptation. In addition, we have previously shown that awareness of the mismatch reduces recalibration, but only when the mismatch was larger than 70 mm 10 . When the offset is up to 70 mm such as in the present study, then the awareness of the offset does not override unconscious belief in a common cause. This might be because the mismatch magnitude that is perceived is the scope of the natural sensory bias of the participant.
Retention of motor adaptation is usually assessed by recall (aftereffects) or savings (faster relearning). Studies have shown that retention of motor adaptation occurs even after an entire year 23 . A study by Nourouzpour et al. 4 examined proprioceptive recalibration in the context of visuomotor adaptation, and found that after 24 h, only 46% of proprioceptive changes were retained, while 72% of motor adaptation was retained. In contrast, the present study found offline gains in proprioceptive recalibration after 24 h. This is consistent with the idea that proprioceptive recalibration elicited by visuo-proprioceptive mismatch occurs by a different mechanism than proprioceptive recalibration elicited by sensory prediction error, which is present in visuomotor adaptation 19 .
Maksimovic and Cressman 3 investigated the retention of proprioceptive recalibration associated with visuomotor adaptation over a longer duration of time (4 days). They found that the proprioceptive recalibration seemed to be recalled to some extent the next day, consistent with the other studies. But the recall was not retained after 48 h. However, they did find retention in terms of savings even after 4 days 3 . In our current study, we found that the normal vision or active movement of the hand during intervention did not lead to the return of the baseline visuo-proprioceptive calibration even after 24H which is consistent with the visuomotor adaptation studies.
Limitations and future directions. To interpret between-group differences in retention in Block 2,we need to know that recalibration was similar across groups in Block 1. The absence of between-group differences in recalibration in Block 1 according to the ANOVA does not, by itself, tell us that recalibration was similar across groups (i.e., maybe we lacked power to detect this effect). The Bayes Factor analysis does give us mildto-moderate evidence that both visual and proprioceptive recalibration were similar across groups 31 . However, given that this study's goals were exploratory (we did not know whether retention would occur in this paradigm), we cannot rule out that our chosen sample size was insufficient to detect a between-group effect in Block 1. The present results in Block 2 must therefore be interpreted with caution. www.nature.com/scientificreports/ Motor effects in the indicator hand are also a potential limitation of this study design. Specifically, because the visual cue gradually moves further away during Block 1, we must consider the possibility that our measure of visual recalibration (undershoot of the visual target by the indicator hand) is inflated to some degree by participant laziness or need to conserve effort, or belief that they should keep pointing at the same place because nothing is changing. This would raise the possibility that what we measure in Block 2 is not retention of perceptual recalibration, but retention of these motor effects in the indicator hand. However, there are several reasons we think such motor effects are an unlikely explanation of these results.
First, randomization of start and target positions makes it unlikely that participants will simply repeat the same motion when moving to indicate perceived target position. So, we don't think there would be a motor pattern responsible for performance in Block 1 that could be degraded before Block 2. While we acknowledge the possibility that 24 h group subjects were more "refreshed" when starting Block 2 than the other groups, we don't think this is a likely explanation for differences in retention between the 24 h group and the other groups. If they were more refreshed after 24 h and willing to point accurately on V targets (instead of undershooting), we would expect a similar effect for P targets too, which was not the case. Also, the group 1-4 subjects did get a 5-min break in between Block 1 and 2; two of the groups traced circles for one minute, but everyone had at least 4 min of rest, which should reduce any fatigue-related effects.
Second, if visual recalibration was inflated by subject laziness, we would expect V targets displayed at the smooth target position to be undershot more than V targets displayed at the rough target position, which is 40 mm closer to the subject. However, we found that the median V recalibration was very similar for both marker positions: 46.9 mm on rough markers, 44.1 mm on smooth markers.
Third, there are non-motor reasons for visual recalibration to be greater than proprioceptive recalibration. Based on the minimum variance model, greater visual recalibration than proprioceptive recalibration suggests the visual cue is noisier than the proprioceptive cue 1,9 . Relative reliability of vision and proprioception, and how much each is relied on or weighted, is not constant and depends on environmental, computational, and cognitive factors. There are several reasons we expect the visual cue to be noisier in this paradigm: (1) subjects were asked to fixate a different random position on each trial, to discourage them from using eye muscle signals to enhance position information about the visual target. This increases noise in the visual cue, relative to many paradigms where the subject fixates the visual target. (2) The visual cue representing the hand is a white square on a blank background. We and others have found that proprioception actually dominates in these circumstances 44,45 , compared to when subjects can see a visually detailed background or more visual detail about their hand. (3) In the sagittal dimension, vision is less reliable than proprioception 8 and this is the dimension of visuo-proprioceptive cue mismatch in the present study.
In this study, the greatest differences in retention were observed when comparing the four short-term groups with the 24H group, and few differences were seen among the four short-term groups. This could indicate that factors linked to the duration of time between Block 1 and Block 2 are more important than the specific activities and stimuli available during the intervention. Alternatively, it could indicate that a few minutes of intervention is insufficient to see differences between active/rest and vision/no vision, and more time is needed for the brain to recalibrate to baseline or for interference to occur. The present study cannot distinguish between these possibilities. In the future we could give the participants vision of their hands and/or perform an active task for a longer duration of time in the same workspace to keep the contextual factors similar and examine the effects on retention. Finally, retention of visuo-proprioceptive recalibration should be assessed not only in the form of recall, but also in the form of savings, to enable better comparison with retention of visuo-motor adaptation.
Visuo-proprioceptive recalibration bears some superficial similarity to visuo-motor adaptation: it may occur trial-by-trial and acts to compensate for a perturbation. Indeed, visuo-proprioceptive recalibration may occur during visuomotor adaptation, in response to the spatial offset of the visual cursor from the hand 19 . However, in-depth study of visuo-proprioceptive recalibration in the absence of visuo-motor adaptation may clarify how these processes interact in natural behavior. As such, future research should test not only other aspects of how visuo-proprioceptive recalibration is retained, but also whether it undergoes intermanual transfer or generalizes to other tools or workspaces.
There might be some limits to generalizability of our results in terms of the setup used for the experiment. We might get different results using a robotic manipulandum instead of a touchscreen as it might act as a different context. In terms of population group, we know that older adults in the age range of 60-81 years do recalibrate similar to younger adults 28 . Therefore, our results might be generalizable to an older population group. We also acknowledge that there is a possibility that other workspace locations might have influenced the visual and proprioceptive recalibration, but this is outside the scope of our current study.

Conclusions
Our study suggests that visuo-proprioceptive recalibration is robustly retained in the short term, even when the hand is viewed veridically and moved actively for several minutes. In the longer term, factors such as context dependence may play a role, and differences in retention of visual vs. proprioceptive recalibration became apparent. Further research is needed to provide better insight into memory contributions in visuo-proprioceptive recalibration.

Data availability
The dataset generated and analyzed during the current study are available in the OSF repository at https:// osf. io/ n4tbj/.